00:01
In this problem, we have been given some probabilities, and we need to construct a venn diagram to find certain other probabilities.
00:07
So, first of all, consider the probabilities given.
00:10
We've been given probabilities relating to whether a given tourist goes to the amusement park and whether they go to the water park.
00:16
So let us consider the set a to represent the event that they went to the amusement park, and let us consider the set w to represent the event that they went to the water park.
00:30
And let's just construct this box outside here.
00:32
That would be the universal set.
00:35
So first of all, note that it is said that the probability that she goes to the amusement park and the water park is 0 .10.
00:42
So this portion common to both sets a and w, the probability over here will be 0 .10.
00:50
Now note that it is said that the probability that the curious goes to the amusement park is 0 .47.
00:55
So for the entirety of this set a, we should have 0 .47.
01:00
But we already have 0 .10 over here.
01:03
So outside we should have 0 .47 minus 0 .10.
01:08
And if we calculate that, what we're going to end up with is 0 .37.
01:13
Now, note that it is also said that the probability that the tears goes to the waterpark is 0 .58.
01:19
So for this whole portion, for this whole set w, we should have 0 .58.
01:24
But we already have 0 .10 here.
01:27
So outside, we're going to have 0 .58 minus 0 .5 .1 .1 .2.
01:30
And if we calculate that, what we're going to end up with is 0 .48.
01:36
Now, if we add these 3, 0 .37, 0 .10 and 0 .48, we'll have 0 .95.
01:45
And the total probability of all of this considered should be 1...